What is 7x-4(x-5)-8x<2(x+5) ?

The solution to 7x-4(x-5)-8x 10/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7x-4(x-5)-8x<2(x+5)

7 x - 4 (x - 5) - 8 x < 2 (x + 5)

x > \frac{10}{7}

Interval Notation

(\frac{10}{7}, \infty)

Decimal Notation

x > 1.42857 \dots

Solution steps

7 x - 4 (x - 5) - 8 x < 2 (x + 5)

Group like terms

7 x - 8 x - 4 (x - 5) < 2 (x + 5)

Add similar elements:

7 x - 8 x = - x

- x - 4 (x - 5) < 2 (x + 5)

Expand

- 4 (x - 5) : - 4 x + 20

- x - 4 x + 20 < 2 (x + 5)

Add similar elements:

- x - 4 x = - 5 x

- 5 x + 20 < 2 (x + 5)

Expand

2 (x + 5) : 2 x + 10

- 5 x + 20 < 2 x + 10

Move

20

to the right side

- 5 x < 2 x - 10

Move

2 x

to the left side

- 7 x < - 10

Multiply both sides by

- 1

7 x > 10

Divide both sides by

7

x > \frac{10}{7}

4 x^{2} - 3 x + 1 = 0

15 x^{2} + 58 x + 48 = 0

7 x^{2} - 9 x - 10

\frac{v}{4} + 2 = - 2

x^{2} = 4 x - 11